US 20090224172 A1
A method of obtaining a spatially resolved measurement for the detection of melanin in fluorophore mixtures of a solid sample includes emitting at least one pulse of light from a laser light source onto the solid sample at an excitation wavelength between 300 nm and 1000 nm so as to provide fluorescence excitation of the melanin by photon absorption. The pulse of light has a photon flux density between 1026 to 1028 photons per cm2 per second and a pulse length between 0.5 ns and 5 ns. An emitted spectral fluorescence response of the melanin is provided by evaluating a number of photons emitted at fluorescence wavelengths between 400 nm and 700 nm as to identify the melanin.
14. A method of obtaining a spatially resolved measurement for detection of melanin in a fluorophore mixture of a solid sample, the method comprising:
emitting at least one pulse of light from a laser light source onto the solid sample at an excitation wavelength between 300 nm and 1000 nm so as to provide fluorescence excitation of the melanin by photon absorption, wherein the at least one pulse of light has a photon flux density between 1026 to 1028 photons per cm2 per second and a pulse length between 0.5 ns and 5 ns; and
providing an emitted spectral fluorescence response of the melanin by evaluating a number of photons emitted at fluorescence wavelengths between 400 nm and 700 nm so as to identify the melanin.
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visually depicting the fluorescence response over the entirety of the solid sample, wherein the excitation wavelength is between 300 nm and 350 nm and the fluorescence excitation is by one-photon absorption.
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This application is a U.S. National Phase Application under 35 U.S.C. § 371 of International Application No. PCT/DE2007/001076, filed on Jun. 17, 2007, and claims benefit to German Patent Application No. DE 10 2006 029 809.8, filed on Jun. 28, 2006. The International Application was published in German on Jan. 3, 2008 as WO 2008/000223 A1 under PCT Article 21(2).
The present invention relates to a spatially resolved method for the detection of melanin in fluorophore mixtures in a solid sample by means of fluorescence excitation of the melanin present in the fluorophore mixture by means of photon absorption using at least one pulse of a laser light source and for the identification of the melanin present in the fluorophore mixture on the basis of its emitted spectral fluorescence response by evaluating the numbers of emitted photons.
Fluorescence examinations for the identification of specific substances have been known for a long time. The ability to emit light after photon absorption, i.e. to luminesce, is substance-specific. This is the basis of conventional luminescence analysis. Several million luminescent, i.e. fluorescing and/or phosphorescing organic compounds are known today, and it is often the case that several luminescent substances are present in a material that is to be examined. This often applies, for example, to measured samples and to issues encountered in biosciences and medicine. For example, human skin tissue contains at least ten different endogenous fluorophores, along with exogenous fluorophores, and consequently the autofluorescence spectrum of the skin is the result of many individual fluorescence bands. A number of methods are known, which generally have to be used in combination in order to yield a component analysis with fluorophore mixtures, for example, by varying the excitation wavelength, by turning to excitation spectra as a function of the fluorescence wavelengths, fluorescence decay behavior and polarization spectra, although employing combined methods is not only time-consuming but, for example, in cases where the fluorophore mixture is present in a matrix, might only be useable to a limited extent due to the optical properties of the matrix itself, such as self-absorption and scattering. Another complication of the analysis of fluorophore mixtures in matrices arises if the latter are non-homogeneous in terms of their optical properties and if the composition of the fluorophore mixture in these non-homogeneous matrices is additionally itself a function of the location. Such a situation exists in the matrix of human skin tissue, in view of the mixture of endogenous and exogenous fluorophores that is present there. The fluorophore component analysis with this matrix is also made more difficult in that it has a penetration depth for visible light that decreases sharply from the long-wave to the short-wave range. This drawback can be countered by non-linear fluorophore excitation by means of simultaneous two-photon absorption in the long-wave spectral range, but this considerably limits not only the above-mentioned broad combination of methods for the fluorophore component analysis and makes it extremely complicated, but above all, it also calls for the use of ultra-short, intense high-repeating laser light pulses in the femtosecond range (fs). This entails the well-known risk of photochemical bleaching of the fluorophores and, especially with in-vivo applications, there is also a risk of affecting the cell division rate caused by the requisite high photon flux densities of typically ≧10 29 photons per cm2 and per second, and by the high-repeating radiation regime.
However, it is precisely the fluorophore component analysis in human tissue that is of considerable interest, e.g. in conjunction with medical-diagnostic, pharmaceutical and cosmetic issues. In particular, the focus of attention is directed at the endogenous fluorophore melanin. Melanin occurs, among other places, in the skin, hair and eyes; it is responsible, for example, for skin and hair color, and it especially plays a central role, on the one hand, as a “sunscreen” and, on the other hand, in the degeneration of skin tissue into malignant melanoma, the black skin cancer. According to S. P. Nighswander-Rempel et. al. in “A quantum yield map for synthetic eumelanin” in J. Chem. Phys. 123, 2005, 194901-1-6, when it comes to fluorescence analysis, melanin has the serious drawback of an extremely small fluorescence quantum yield in the order of magnitude of 10−4 at the maximum; even a specific fluorescence quantum yield derived from the unusual absorption of melanin is only in the order of magnitude of 10−6. The absorption spectrum of melanin differs from that of almost all other organic fluorophores. Whereas the latter exhibit only individual discrete absorption bands between the near ultraviolet and the near infrared spectral ranges, melanin exhibits a monotonously decreasing absorption curve in the cited spectral range. Thus, when two-photon absorption in the red or near infrared spectral range is applied to fluorophore mixtures containing melanin, the results do not even come close to achieving a selective excitation of the melanin spectrally because every light wavelength that excites any fluorophore also excites melanin. German patent specification DE 199 39 706 C2 discloses that an accumulation of the excited melanin in comparison to all other fluorophores can be achieved by two-photon excitation with femtosecond pulses, meaning that, so to speak, a certain compensation for the low fluorescence quantum yield is possible. This is based on the fact that two-photon excitation of melanin takes place as a stepwise process of two consecutive one-photon absorptions via a real intermediate level (see K. Teuchner et. al. in “Femtosecond Two-photon Excited Fluorescence of Melanin” in Photochem. Photobiol. 70(2), 1999, pp. 146-151), in contrast to the usual simultaneous two-photon excitation with an only virtual intermediate level in the case of the other relevant fluorophores. However, the fluorescence-spectroscopic significance and analytical usefulness of this accumulation of excited melanin are limited by its extremely low fluorescence quantum yield in comparison to the other relevant fluorophores. It is known from the publication by K. Hoffmann et. al. “Selective Femtosecond Pulse-Excitation of Melanin Fluorescence in Tissue” in J. Invest. Dermatol. 116 (2001), 629-630 that, with this two-photon excitation based on femtosecond pulses, a red shift of the fluorescence can be measured in malignant melanoma ex-vivo in comparison to healthy skin tissue and a shortening of the fluorescence decay occurs (also see German patent application DE 102 39 028 B4).
U.S. Pat. No. 5,034,613 describes a laser microscope with a simultaneous two-photon fluorescence excitation that, in order to examine cell material, uses excitation wavelengths in the range from red to near infrared, i.e. between 640 nm and 1200 nm, with pulse lengths in the sub-picosecond range, i.e. <10−12 seconds, here at 100 femtoseconds (fs), at a repetition rate of 80 MHz. A very high local light intensity arises due to the focusing at 1 μm. This very narrow focusing is meant to limit the bleaching of the fluorophores to the immediate observation area. Moreover, the two-photon excitation is supposed to suppress the so-called background fluorescence to a greater extent. German patent specification DE 44 14 940 C2 describes a luminescence scanning microscope using two-photon excitation that works with laser pulses that are greater than 1 picosecond (ps) in order to avoid the use of expensive femtosecond lasers. With an eye towards offsetting the low pulse power that is used so as to treat the examination objects gently, a greater measuring duration, i.e. a longer pulse sequence is used for the luminescence excitation. German patent application DE 197 19 344 A1 discloses an arrangement for the optical micromanipulation, analysis and processing of objects, said arrangement working with a wavelength spectrum for the excitation in the range between 400 nm and 1200 nm and pulse lengths in the nanosecond, picosecond and femtosecond ranges. The arrangement relates mainly to the use of a laser that can be tuned over the entire spectral range and less to the fluorescence excitation intended for the actual substance analysis. Nevertheless, this publication explicitly points out that only the pulse durations in the femtosecond range are used for the analysis. Pulse lengths in the range of picoseconds or longer are used exclusively for the micromanipulation.
German patent application DE 199 35 766 A1 describes a method for the optical excitation of fluorophore-marked DNA and RNA in which a simultaneous non-resonant multi-photon fluorescence excitation is used preferably at wavelengths in the range between 760 nm and 820 nm, and with power densities between 100 MW/cm2 und 10 TW/cm2. It is noted that the simultaneous two-photon or three-photon excitation is not known yet in the DNA/RNA analysis under discussion here. An example is presented in which various fluorophores with a wavelength of 770 nm, a pulse duration of 200 fs, a pulse frequency of 76 MHz and a power density of 500 GW/cm2 could be excited to a high-contrast fluorescence spectrum with maxima between 480 nm and 650 nm. German patent specification DE 199 39 706 C2 describes the selection of fluorophores for substance marking in multi-photon laser scanning microscopy, comprising a stepwise resonant absorption with real intermediate levels. Here, a much lower laser intensity, i.e. photon flux density, is said to be necessary for the excitation, so that, on the one hand, less equipment is needed and, on the other hand, the risk of electric disruptive discharges and the photochemical effect of bleaching of the substance sample can be minimized after the one-photon absorption. In particular, mention is made of synthetic melanin as such a fluorophore in which the mechanism of action of the stepwise resonant multi-photon absorption is systematically utilized, i.e. the excitation is not achieved via virtual but rather via real intermediate levels. Concretely speaking, a wavelength of 800 nm, a pulse duration of 120 fs and a pulse energy of 1 μJ are used for the fluorescence excitation. The emitted fluorescence is in the blue-green-red spectral range at a maximum of 610 nm. German patent application DE 100 65 146 A1 describes a method and an arrangement for non-invasive three-dimensional optical examination and treatment of the skin that, for the multi-photon excitation of the body's own fluorophores, use pulsed laser radiation in the near infrared range at wavelengths of 700 nm to 1200 nm as well as pulse lengths of less than 20 ps with light intensities in the order of magnitude between gigawatts per cm2 and terawatts per cm2 at a pulse sequence frequency of 80 MHz. In particular, it is said that melanoma of the skin can be located and irreversibly damaged. It is described that resonant and non-resonant multi-photon fluorescence excitation of specific endogenous fluorophores, especially melanin, occurs, as a result of which it is said to be possible to distinguish between certain pathological tissue and healthy tissue on the basis of the ascertained arrangement of the fluorescence intensity and of the fluorescence lifetime. The exact mechanisms of action of the multi-photon excitation in conjunction with the excitation parameters as well as the interpretation of the fluorescence response for purposes of precisely locating pathological tissue are not discussed.
International patent publication WO 02/069784 describes a portable fluorescence lifetime spectrometer (FLS) for the simultaneous in-vivo analysis of the spectral and temporal fluorescence properties of tissue or cells in terms of their carcinogenic or pre-carcinogenic tissue components. The time-dependent fluorescence response of endogenous fluorophores such as collagen, elastin, NADPH and tryptophan is highly dependent on the biochemical environment and on its pH value and oxygen content, as a result of which a conclusion can be drawn as to whether the tissue is said to be healthy or diseased. In less than one second, the FLS can process the data about the transient decay behavior of a certain frequency band of the fluorescence of the examined tissue over periods of time averaging 360 picoseconds and consequently, it is suitable for in-vivo use. This publication does not present a new measuring method but rather a measuring device that has been optimized for a specific purpose.
German patent application DE 102 39 028 B4 describes a method for identifying naturally occurring or synthetically produced types of melanin. The occurring melanin is selectively excited—relative to other fluorophores present in the sample—by one-photon excitation and by stepwise, resonant two-photon excitation with laser pulses having a wavelength of 800 nm and at a pulse length in the femtosecond range, and the fluorescence spectrum obtained as the response to this is evaluated after spectral distribution and after being temporally resolved. On the basis of the spectral distribution of the obtained fluorescence intensities and of the decay behavior, it becomes possible to selectively distinguish among the various types of melanin and thus to draw a conclusion about the presence of tissue that is suspected of having a malignant melanoma.
In the state of the art, fluorophores in general and melanin in particular are regularly detected with laser pulses having pulse lengths in the femtosecond range, but at the most of less than 20 ps. The wavelength range is specified as being from 700 nm to 1200 nm, a wavelength of 800 nm being commonly used. The high-energy pulses are radiated highly repetitively at frequencies of, for example, 80 MHz, and they generate photon flux power densities that lie between 100 GW/cm2 and several TW/cm2.
In addition to the above-mentioned local bleaching effects with still-unknown subsequent reactions and in addition to the risk of affecting the cell division rate at pulse power densities of more than 100 GW/cm2, there is yet another source of danger stemming from non-linear fluorophore excitation in-vivo using intense, ultrashort light pulses, which has been almost completely ignored up until now: the dangerously high effect of an undesired three-photon excitation of fluorophores that results from a one-photon absorption from the excitation state that follows the simultaneous two-photon absorption. In the literature, a three-photon absorption that is possible in the case of non-linear fluorophore excitation has only been rarely mentioned, and then, it was incorrectly interpreted as a simultaneous three-photon absorption because, due to its extremely small effective cross section, it was said to have an infinitesimally small effect. Owing to this misinterpretation, the concrete risk that stems from the actual occurrence of two-photon absorption with subsequent one-photon absorption is not recognized. Energetically, this process corresponds to an excitation in the UV-B or even UV-C range. Such a high carcinogenic potential makes the use of the method of non-linear fluorophore excitation with femtosecond pulses in human tissue very risky and increases, for example, the risk of DNA protein cross-links. In view of the described effects, this form of melanoma diagnosis on the basis of femtosecond pulses appears to be too risky for in-vivo applications.
Pulse lengths in the femtosecond range call for more complex equipment, making it impossible to use handy and easily operable devices, for example, for melanoma diagnosis. If the benefit of selective melanin detection does not outweigh the drawbacks and risks described above, then the diagnostic methods aimed at in-vivo use have to operate at power densities well below 100 GW/cm2, the threshold for cell damage. The latest findings on the risk of an actual three-photon absorption with carcinogenic UV-C potential that occurs unnoticed instead of what was assumed to be a two-photon absorption call for a markedly more stringent stipulation of power densities ≦1 GW/cm2. The high energy input into the tissue matrix, caused by the measured systems based on high-repeating laser systems, should be avoided if the fluorophore mixtures to be examined contain melanin, since practically all of the energy absorbed in the melanin remains in the tissue and is necessarily converted, for example, into heat or into photochemical subsequent processes. This is an aspect of the extremely low fluorescence quantum yield of melanin. Other fluorophores typically release most of the absorbed excitation energy in the form of fluorescence radiation.
An aspect of the present invention is thus to provide a spatially resolved method for the detection of melanin in fluorophore mixtures in a solid sample in such a way as to minimize or avoid one or more of the drawbacks having to do with complex equipment, complicated handling, multi-step methods and ambiguous detection results. It is another alternative aspect of the present invention to minimize or avoid risks associated with high irradiation intensities that trigger bleaching, affect cell division mechanisms, cause bums and can be carcinogenetic in in-vivo detection procedures.
In an embodiment, the present invention provides a method of obtaining a spatially resolved measurement for the detection of melanin in fluorophore mixtures of a solid sample wherein at least one pulse of light is emitted from a laser light source onto the solid sample at an excitation wavelength between 300 nm and 1000 nm so as to provide fluorescence excitation of the melanin by photon absorption. The pulse of light has a photon flux density between 1026 to 1028 photons per cm2 per second, a pulse length between 0.5 ns and 5 ns. An emitted spectral fluorescence response of the melanin is provided by evaluating a number of photons emitted at fluorescence wavelengths between 400 nm and 700 nm so as to identify the melanin.
The spatially resolved measuring method according to the invention for the detection of melanin in fluorophore mixtures in a solid sample is described in greater detail below with reference to the schematic figures. The following is shown:
The spatially resolved method according to an embodiment of the present invention for the detection of melanin in fluorophore mixtures in a solid sample is provided for through fluorescence excitation of the melanin only which is present in the fluorescence mixture by photon absorption with at least one pulse of a laser light source that, at a pulse length of 0.5 ns to 5 ns, generates an excitation wavelength in the range between 300 nm and 1000 nm having a photon flux density of 1026 to 1028 photons per cm2 and per second. The detection is made by counting the photons irradiated in the fluorescence spectrum between 400 nm and 700 nm.
In a particularly surprising manner, it has been found that, in contrast to the current knowledge according to the literature (K. Teuchner et al. J. Fluor. 10/3, 2000, 275-281 J. Fluor. 10/3, pp. 275-281, 2000), the fluorescence spectrum of melanin caused by two-photon excitation can also be excited with laser pulses having pulse lengths of more than about 100 fs, e.g., with pulses in the nanosecond range; preferably, this is done at a pulse duration of 2 ns. The present invention offers significant advantages which can be demonstrated theoretically and practically on the basis of the fact that the occupation density of the fluorescence level occupied by means of two-photon absorption is dependent on the pulse duration. A prolongation of the pulse duration by 4 orders of magnitude (e.g., 100 fs to 1 ns)—with otherwise unchanged parameters in the simultaneous two-photon absorption for the usual fluorophores—likewise raises the occupation density in the fluorescence level by 4 orders of magnitude, whereas for stepwise two-photon absorption in melanin, it raises the occupation density by 8 orders of magnitude. Since this occupation density is dependent by a square function on the excitation intensity for both types of two-stage absorption, the laser pump intensity of the pulses in the nanosecond range could theoretically be reduced by 4 orders of magnitude in comparison to the pulses of about 100 fs in order to obtain the same fluorescence intensity for melanin for excitation in the nanosecond range as is obtained in the method with pulses of about 100 fs. In contrast, the fluorescence of the other usual fluorophores would have been reduced by 4 orders of magnitude, i.e. it would be relatively unmeasurable. This is approximately confirmed in actual practice as well. In order to obtain a clear selective fluorescence response of the melanin with the same detection system in case of excitation in the nanosecond range, the photon flux density can be reduced by almost 3 orders of magnitude in comparison to the excitation by about 100 fs and, in an embodiment of the method according to the present invention, can lie at 1027 photons per cm2 and per second, corresponding to approximately 300 MW/cm2 for photons of the red to near infrared spectral range. At this excitation and under identical detection conditions, the other usual fluorophores are unmeasurably weak, i.e. a reliable selective detection of the melanin fluorescence from the fluorophore mixture on hand is achieved. In this process, at the same time, the requisite laser intensities have been reduced by several orders of magnitude, i.e. the risk of the above-mentioned radiation damage is drastically diminished. In order to detect the melanin fluorescence, according to other embodiments of the method according to the invention, averaging over an accumulation number of 2 to 100 individual pulses of the laser light source can be carried out with low energy input and the spectral fluorescence response can be ascertained in wavelength increments of about 25 nm.
According to other embodiments of the method according to the present invention, the fluorescence excitation can be carried out by excitation wavelengths in the range between 300 nm and 350 nm exclusively by one-photon absorption and the fluorescence response can be ascertained over the entire solid sample in the form of a visual depiction. Preferably, the excitation wavelength can be 337 nm and the visual depiction can be made by direct optical photography of the fluorescence emitted in the visible range. It has surprisingly been found that skin tissue regions with malignant melanoma have a characteristic structuring in the intensity distribution of the fluorescence image of the entire region if this image is generated with one-photon excitation and is created with a highly sensitive, gated detection system. For this purpose, excitations with a nanosecond pulse nitrogen laser (337 nm) and spectrally selected fluorescence within the range from 400 nm to 650 nm are suitable. It has also surprisingly been found that such a reduction of the fluorescence of the fluorophores that are usually dominant in case of conventional one-photon excitation occurs in malignant melanoma, and also that, at excitation and detection wavelengths selected according to the embodiments of the method, this fluorescence extinction can be used as a first indication of a malignant degeneration. Therefore, with an embodiment of the method according to the present invention, the spatially resolved detection of skin tissue regions of interest can be carried out in the fluorescence light of spectrally filtered fluorophores excited by suitable UV-photons from nanosecond pulses in order to recognize regions that are suspected of having a malignant melanoma.
According to further embodiments of the method according to the present invention, the fluorescence excitation can be effectuated by excitation wavelengths in the range between 600 nm and 1000 nm exclusively by stepwise two-photon absorption and the fluorescence response can be ascertained locally and selectively at the fluorescence wavelength of or near 475 nm that is characteristic for the melanin type eumelanin, and at the fluorescence wavelength of or near 575 nm that is characteristic for the melanin type pheomelanin. Preferably, the excitation wavelength can be between 800 nm and 900 nm and the local spatial resolution can lie at measuring spots in the range between 40 μm and 100 μm. In order to further minimize risk during in-vivo fluorescence measurements, the excitation wavelength can be shifted from the otherwise normally employed 800 nm to wavelengths of about 900 nm. In this manner, the prescribed laser wavelength already precludes that the critical UV range below 300 nm for non-linear three-photon absorption will be reached. The energy of 3 hν for λ=c/ν=900 nm corresponds to a wavelength of 300 nm. This energetically essential shift of the excitation wavelength for melanin to the range of about 900 nm is described here for the first time and used according to the invention. It has also surprisingly been found that melanin can also still be excited at a wavelength of about 900 nm to yield a measurable stepwise excited fluorescence. Such a melanin fluorescence, for example, in human skin tissue in a paraffin section ex-vivo, exhibits a spectrally wide, asymmetrical profile with a maximum in the blue-green spectral range at about 475 nm and a gradually tapering flank into the red spectral range, implicitly depicting a second component. It has also surprisingly been found that, in case of degeneration of the skin tissue into a malignant melanoma, the spectral profile of the melanin fluorescence changes significantly. It now clearly exhibits two bands, in the paraffin section at 475 nm and 575 nm, i.e. the yellow-red spectral fraction of the fluorescence is much more pronounced. This situation stems from the significant decrease in the total fluorescence of the melanin in the malignant melanoma as compared to healthy tissue, and this decrease comes at the expense of the short-wave component. These pure fluorescence spectra of melanin, which were obtained for the first time through the selection of the process parameters according to an embodiment of the present invention, make it clear during the excitation of the fluorophore mixture in the skin tissue that all of the fluorescence spectra of skin tissue that were previously measured exclusively with pulses in the femtosecond range do not reflect a pure melanin fluorescence but rather also fractions of fluorophores with simultaneous two-photon absorption. This can be seen explicitly in the fluorescence detection of skin tissue with a malignant melanoma in paraffin, in which one and the same tissue region was excited with 800 nm pulses in the femtosecond range as well as with pulses in the nanosecond range. The minimum that occurs at 525 nm during the fluorescence excitation in the nanosecond range is concealed by the FAD fluorescence (flavin adenine dinucleotide). Hence, the method according to an embodiment of the present invention provides greater detection sensitivity to melanin fluorescence in the skin tissue caused by pathological changes. This detection sensitivity benefits the recognition of the onset of malignant degeneration in nevi and it provides other advantages for malignant degenerations, along with the advantage of non-invasiveness, such as the elimination of the various above-mentioned risks of radiation load as well as the advantage of the much simpler equipment requirements for pulses in the nanosecond range in comparison to pulses in the femtosecond range.
In another embodiment of the method according to the present invention, both versions of the method described above are combined. For this purpose, the fluorescence detection of skin regions that are to be examined in their entirety is carried out in the light of a fluorescence that is excited by one-photon absorption and the selection of sample regions of special interest is made by ascertaining fluorescence extinctions in the fluorescence response. Subsequently, in these selected regions, a fluorescence response excited by means of the stepwise two-photon absorption is ascertained locally and selectively, and the occurring fraction especially of the melanin type pheomelanin is ascertained by determining the appertaining number of emitted photons. The extent of the fluorescence extinction to be determined in the first part of the method can advantageously be ascertained on the basis of the color or grayscale gradations that occur in the visual depiction proportionally to said fluorescence extinction, whereby the darkest regions with the greatest fluorescence extinction are selected for further examination in the second part of the method. The ratio of the occurring fractions of the melanin types eumelanin and pheomelanin can also be ascertained. Moreover, the method can be used for solid samples of tissue parts of the human skin, of the human fundus of the eye or of human hair, whereby the method can be carried out either ex-vivo in solid samples stabilized in paraffin and fixed in formalin, or else in-vivo in solid samples fixed in their natural environment. Preferably, the spatially resolved measuring method for the detection of melanin in fluorophore mixtures in a solid sample can be used for the technical objective of early detection of malignant melanomas in human skin tissue as a solid sample.
All of the numerical values and diagrams showing fluorescence spectra indicated in the figures described below refer to spectrally uncorrected fluorescence spectra that were obtained under comparable test conditions using the measuring arrangements shown in